This article is cited in 6 papers

Investigation of systems with quadratic interaction by the method of functional derivatives

A. I. Ivanov, G. S. Lomakin, O. A. Ponomarev


Abstract: For a fermion-boson system with quadratic interaction in the boson field in which the transition matrix element depends on the boson variables, a method is proposed for calculating the many-time statistical Green's functions on the basis of the method of functional derivatives. In the limit of a fixed fermion, the explicit form of the exact many-time Green's functions is found. For the case of a moving fermion, an iterative procedure is proposed for calculating the Green's functions with allowance for indirect interaction in the boson subsystem.

Received: 19.07.1978

 English version: Theoretical and Mathematical Physics, 1979, 41:2, 1020–1028

Bibliographic databases:

• 
•